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Finding the Fourth Proportional to 192,382, 265,516.32 and 116,915.92

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Solution

The fourth proportional to 192,382, 265,516.32 and 116,915.92 is: 161,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,382 : 265,516.32 = 116,915.92 : x
  2. Step 2: Convert to fraction form
    192,382/265,516.32 = 116,915.92/x
  3. Step 3: Cross multiply
    192,382x = 265,516.32 × 116,915.92
  4. Step 4: Simplify right side
    192,382x = 31,043,084,827.81
  5. Step 5: Solve for x
    x = 31,043,084,827.81/192,382
  6. Step 6: Final answer
    x = 161,361.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.